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Finding the Fourth Proportional to 54,951.04, 75,831.93 and 31,082.38

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Solution

The fourth proportional to 54,951.04, 75,831.93 and 31,082.38 is: 42,893.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,951.04 : 75,831.93 = 31,082.38 : x
  2. Step 2: Convert to fraction form
    54,951.04/75,831.93 = 31,082.38/x
  3. Step 3: Cross multiply
    54,951.04x = 75,831.93 × 31,082.38
  4. Step 4: Simplify right side
    54,951.04x = 2,357,036,864.39
  5. Step 5: Solve for x
    x = 2,357,036,864.39/54,951.04
  6. Step 6: Final answer
    x = 42,893.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.